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GalinKa [24]
3 years ago
14

∠C and ​ ∠D ​ are vertical angles with m∠C=−3x+58 and m∠D=x−2 . What is m∠D ?

Mathematics
2 answers:
vovangra [49]3 years ago
8 0

Answer:

m<D is 13^{0}

Step-by-step explanation:

Vertically opposite angles are said to be equal angles, thus;

                   m<C = m<D

So that,

              -3x + 58 = x -2

             -3x - x = -2 -58

               - 4x = - 60

                 x = \frac{- 60}{- 4}

                 x = 15

Thus,

  m< D = x - 2

           = 15 - 2

           = 13^{0}

Therefore, m<D is 13^{0}

11111nata11111 [884]3 years ago
4 0
Vertical angles are equal

-3x + 58 = x - 2
-3x - x = -2 - 58
-4x = - 60
x = -60/-4
x = 15

m < D = x - 2....15 - 2 = 13 <====
m < C = -3x + 58....-3(15) + 58 = 13 
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a certain test is worth 135 points. how many points (rounded to the nearest point) are needed to obtain a score of 85%?
yanalaym [24]

To obtain a score of 85% on a test worth 135 points, one needs to get 115 points. By using proportions, we get the required value.

<h3>How to write proportions?</h3>

A proportion is defined as an equality between two ratios.

Consider two ratios a:b and c:d. Then, the proportion we can write,

a: b = c : d

Then, the simplification we have for this proportion is

a/b = c/d or ad = bc

<h3>Calculation:</h3>

It is given that, a certain test is worth 135 points.

One to get 85% on this test, he/she needs to get X number of points.

So, we can write the proportions as

X : 135 = 85 : 100

⇒ X/135 = 85/100

⇒ X = 85/100 × 135

∴ X = 114.75 ≅ 115 points

Learn more about proportions at the following link:

brainly.com/question/140018

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7 0
1 year ago
Ft?
VARVARA [1.3K]

Answer:

15 5/8 ft^3

Step-by-step explanation:

Volume of a cube = l x b x h

Given the Length of sides is

2 1/2

Change 2 1/2 to an improper fraction.

It becomes 5/2

Volume = 5/2 x 5/2 x 5/2

Multiply through

= 125/8

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5 0
3 years ago
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natima [27]

Answer:

Cos Z= 4/5

Step-by-step explanation:

Hope it helps you!

5 0
3 years ago
PLEASE HELP ME ASAP <br><br> Determine the slope of each line:
Sladkaya [172]

Answer:

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Step-by-step explanation:

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For the second one you start at the first point and you cannot go up because it is a negative slope you run 6 till you hit the other point go down 2. Since you go down 2 that would make it -2.  (-2,6)

5 0
3 years ago
What is 13/6 as a mixed fraction
irina1246 [14]

Answer:

The answer is 2 1/6

Step-by-step explanation:

First you would divide 13 by six and that would leave you with 2 with a remainder of 1. Then you would put together the fraction leaving 6 as the denominator, 2 as the whole number, and 1 as the numerator.

Let me know if you need any other help!

5 0
3 years ago
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